For general discussion about Conway's Game of Life.

### Re: Thread for basic questions

danny wrote:Does this pattern ever reach a population of 16 again after generation 55?

`x = 6, y = 1, rule = B2ac/S2o2b2o!`

Its population plot seems to consistently grow linearly, so no.
`x = 552, y = 536, rule = B3/S23261b3o2bo6b3o2b4o2b4o3b3o3b3o2b4o2b4o\$260bo3bobo7bo3bo3bobo3bobo3bobo3bobo3bobo3bo\$260bo5bo7bo3bo3bobo3bobo3bobo3bobo3bobo3bo\$260bo5bo7bo3b4o2b4o2bo3bob5ob4o2bo3bo\$260bo5bo7bo3bo5bo3bobo3bobo3bobo2bo2bo3bo\$260bo3bobo7bo3bo5bo3bobo3bobo3bobo3bobo3bo\$261b3o2b5o2b3o2bo5b4o3b3o2bo3bobo3bob4o8\$bo4b3o2b5o2b3o3b3o\$2o3bo3bo5bobo3bobo3bo\$bo3bo2b2o4bo6bobo3bo\$bo3bobobo3bo6bo3b3o10bo495bo\$bo3b2o2bo2bo6bo3bo3bo9bo495bo\$bo3bo3bobo6bo4bo3bo9bo495bo\$3o3b3o2bo5b5o2b3o10bo495bo\$37bo495bo\$37bo495bo\$37bo495bo2bo\$37bo495bo2bo\$37bo495bo2bo\$37bo495bo2bo\$37bo495b2obo\$37bo495b2obo\$37bo495b2obo\$37bo495b2obo\$37bo495b2obo\$37bo495b2obo\$37bo495b2obo\$37bo489bo5b2obo\$37bo489bo3bob2obo\$37bo489bo3bob2obo\$37bo489bo3bob4o\$37bo489bo3bob4o\$37bo489bo3bob4o\$37bo489bo3bob4o\$37bo489bo3bob4o\$37bo489bo3bob4o\$37bo489bo3b6o\$37bo489b2o2b6o\$37bo486bo2b3ob6o\$37bo486bo2b3ob6o\$37bo473bo7bo4bo2b10o\$37bo473bo7b2o3bo2b10o\$37bo473bo6b3o3bo2b10o\$37bo473bo6b3o3bo2b10o\$37bo463bo9bo4b5o3bob11o\$37bo463bo8b2ob2ob5o3bob11o\$37bo463bo8b2ob2ob5obobob11o\$37bo463bo8b2ob2ob5ob3ob11o\$37bo463bo8b2ob2ob5ob3ob11o\$37bo463bo8b2ob2ob5ob15o\$37bo463bo8b2ob2ob21o\$37bo463bo8b2ob2ob21o\$37bo463bo8b2ob2ob21o\$37bo463bo4bo3b2ob2ob21o\$37bo457bo5bobo2b2o2b2ob2ob21o\$37bo457bo5bobo2b2o2b2ob2ob21o\$37bo457bo5bobo2b2o2b5ob21o\$37bo456b2o5bobo2b2o2b27o\$37bo456b2o5bobo2b2o2b27o\$37bo456b2o2bob2obo2b2o2b27o\$37bo456b2o2bob2obo2b31o\$37bo456b2ob2ob2obo2b31o\$37bo456b2ob2ob2obo2b31o\$37bo456b2ob2ob2obo2b31o\$37bo456b2ob2ob2obob32o\$37bo456b2ob2ob4ob32o\$37bo456b2ob2ob37o\$37bo456b2ob2ob37o\$37bo456b2ob2ob37o\$37bo452bo3b2ob2ob37o\$37bo452bo2b3ob2ob37o\$37bo452bo2b3ob2ob37o\$37bo444bo7bo2b6ob37o\$37bo444bo7b2ob6ob37o\$37bo444bo4bo2b2ob6ob37o\$37bo433bo10bo4bo2b2ob6ob37o\$37bo433bo10bo4bo2b2ob6ob37o\$37bo433bo10bo4bo2b2ob6ob37o\$37bo433bo10bo3b2o2b9ob37o\$37bo433bo10bo3b2o2b47o\$37bo433bo7bo2bo3b2o2b47o\$37bo431bobo7bo2bo3b2o2b47o\$37bo431bobo6b2o2b2ob3o2b47o\$37bo431bobo4bob2o2b2ob3o2b47o\$37bo431bobo4bob2o2b6ob48o\$37bo431bobo4bob2o2b55o\$37bo431bobo4bob2o2b55o\$37bo431bobo4bob2o2b55o\$37bo431bobo4bob2o2b55o\$37bo428bo2bobo4bob2o2b55o\$37bo428bo2b3o4b4o2b55o\$37bo428bo2b3o4b4o2b55o\$37bo428bo2b3o4b5ob55o\$37bo424bo3bob4o4b61o\$37bo424bo3bob4o4b61o\$37bo424b2o2bob4o4b61o\$37bo424b2o2bob4o4b61o\$37bo411bo5bo6b2o2bob4o2bob61o\$37bo411bo5bo6b2ob2ob5obob61o\$37bo411bo5bo6b2ob2ob69o\$37bo411bo5bo6b5ob69o\$37bo411bo5bo6b5ob69o\$37bo411bo5bo6b5ob69o\$37bo411bo5bo6b75o\$37bo411bo5bobo4b75o\$37bo411bo5bobo3b76o\$37bo408bo2bo5bobo3b76o\$37bo400bo7bo2b2o4bobo3b76o\$37bo400bo7bo2b2obo2bobo3b76o\$37bo400bo5bobo2b2obo2bobob78o\$37bo400bo2bo2bob2ob2obo2bobob78o\$37bo400bo2bo2bob2ob4o2b3ob78o\$37bo400bo2bo2bob2ob4ob83o\$37bo400bo2bob2ob2ob4ob83o\$37bo400bo2bob2ob2ob4ob83o\$37bo400bo2bob10ob83o\$37bo400bo2bob10ob83o\$37bo400bo2b96o\$37bo400bo2b96o\$37bo400bo2b96o\$37bo384bo10bo4bo2b96o\$37bo384bo10bo4bo2b96o\$37bo384bo2bo7bo4bo2b96o\$37bo384bo2bo7bo4bo2b96o\$37bo384bo2bo7bo3b2ob97o\$37bo384bo2bo7bobob2ob97o\$37bo384bo2bo7bobob100o\$37bo384bo2bo7bobob100o\$37bo382bobo2bo7bob102o\$37bo382bobo2bo3bo3bob102o\$37bo382bobo2bo3bo2b2ob102o\$37bo382bobo2bo3b108o\$37bo382bobo2bo3b108o\$37bo382bobo2bo2b109o\$37bo382bobo2bo2b109o\$37bo382bobo2bo2b109o\$37bo382bobo2bo2b109o\$37bo379bob2obo2bo2b109o\$37bo365bo13bob2obo2bo2b109o\$37bo365bo12b2ob2obo2bo2b109o\$37bo365bo12b2ob4o2bo2b109o\$37bo365b2o9b9o2bo2b109o\$37bo365b2o9b10obo2b109o\$37bo365b2o9b10obo2b109o\$37bo365b2o9b10obob110o\$37bo365b2o9b123o\$37bo365b2o9b123o\$37bo365b2o8b124o\$37bo365b2o3b2o2b125o\$37bo360bo4b2o3b2o2b125o\$37bo360bo4b2o3b129o\$37bo355bo4bo4b2o3b129o\$37bo355bo4bo4b2o3b129o\$37bo355bo4bo4b2o3b129o\$37bo355bo4bo4b2o2b130o\$37bo355bo4bo4b3ob130o\$37bo355bo4bo4b3ob130o\$37bo355bo4bo4b134o\$37bo355bo2bobobo2b134o\$37bo355bo2bobobo2b134o\$37bo355bo2bobob137o\$37bo355bo2bobob137o\$37bo343bo2bo8bob2obob137o\$37bo343bo2bo8bob2obob137o\$37bo343bo2bobo6b6ob137o\$37bo343bo2bobo4bob6ob137o\$37bo343bo2bobo4bob144o\$37bo343bo2bobo4bob144o\$37bo343bo2bobo3b2ob144o\$37bo343bo2bobo3b147o\$37bo343bo2bobo3b147o\$37bo343bo2b4o2b147o\$37bo343b2ob4ob148o\$37bo341bob2ob4ob148o\$37bo341bob7ob148o\$37bo341bob156o\$37bo322bo7bo10bob156o\$37bo322bo7bo10bob156o\$37bo322bo7bo10bob156o\$37bo322bo7bo2bo7bob156o\$37bo322bo7bo2bo7bob156o\$37bo322bo7bo2bo7bob156o\$37bo322bo4bo2bo2bo3bo3bob156o\$37bo322bobo2bo2b2obo3bobobob156o\$37bo322bobo2bo2b2obo3bobobob156o\$37bo309bo12bobo2bo2b2obo3bobobob156o\$37bo309bo12bobo2b5obo3bobobob156o\$37bo309bo12bobo2b5obo3bobob158o\$37bo309bo8bo3bobo2b5obo2b2obob158o\$37bo309bo8bo3bobo2b5obo2b2obob158o\$37bo309bo4bo3bo3bobo2b5ob2ob2obob158o\$37bo309bo4bo3bo3bobo2b5ob5ob160o\$37bo309bo4bo3bo3bob2ob5ob5ob160o\$37bo309bo4bo3bo3bob2ob11ob160o\$37bo309bo4bo3bo3bob2ob172o\$37bo309bo4bo3bo3bob2ob172o\$37bo309bo4bo3bo3bob2ob172o\$37bo309bo4bo3bo3bob2ob172o\$37bo309bo4bo3bo3bob2ob173o\$37bo309bo4bo3bo3bob2ob173o\$37bo309bo4bo3bo3bob176o\$37bo309b2o3b2o2b3obob176o\$37bo309b2o3b3ob3obob176o\$37bo309b2o3b3ob3obob176o\$37bo309b2o3b3ob5ob176o\$37bo309b2o3b3ob5ob176o\$37bo309b2o2b4ob182o\$37bo307bob2o2b4ob182o\$37bo306b2ob2o2b4ob182o\$37bo303bo2b5o2b187o\$37bo302b2o2b5o2b187o\$37bo302b2o2b5o2b187o\$37bo302b2o2b194o\$37bo302b3ob194o\$37bo302b3ob194o\$37bo302b3ob194o\$37bo298bo2b4ob194o\$37bo298bo2b4ob194o\$37bo294bo2b2o2b4ob194o\$37bo292bobo2b2ob5ob194o\$37bo292bobo2b2ob5ob194o\$37bo292bobo2b2ob200o\$37bo292bobo2b2ob200o\$37bo292bob2ob2ob200o\$37bo292bob2ob2ob200o\$37bo289b7ob203o\$37bo284bo3b8ob203o\$37bo284bo3b8ob203o\$37bo284bo2b9ob203o\$37bo284bo2b9ob203o\$37bo284bo2b9ob203o\$20b7o10bo268bo15bo2b9ob203o\$23bo13bo268bo15bo2b9ob203o\$22bo14bo268bo10bo2bobo2b9ob203o\$21bo15bo268bo10bo2bobo2b9ob203o\$20b7o10bo268bo5bo4bo2bob2ob213o\$37bo268bo5bo4bob2ob2ob213o\$21b5o11bo262bo5bo5bo4bob2ob2ob213o\$20bo5bo10bo262bo5bo5bo2b3ob2ob2ob213o\$20bo5bo10bo262bo5bo3bobo2b3ob5ob212o\$20bo5bo10bo262bo5bo3bobo2b3ob218o\$21b5o11bo262bo5bo3bobo2b3ob218o\$37bo262bo3bobo3bobo2b3ob218o\$37bo262bo3bobo3bobo2b3ob218o\$20bo5bo10bo262bo3bobo3bobob4ob218o\$20b7o10bo262bo3bobo3bob225o\$20bo5bo10bo262bo3bobobob227o\$37bo262bo3bobob229o\$37bo262b2o2bobob229o\$20bo16bo255bo6b2ob2obob229o\$20bo16bo255bo6b2ob4ob229o\$20b7o10bo255bo4bob2ob4ob229o\$20bo16bo255b2o3bob2ob234o\$20bo16bo255b2o3bob2ob234o\$37bo255b3o2bob2ob234o\$21b6o10bo255b3o2bob2ob234o\$20bo2bo13bo255b3o2bob2ob234o\$20bo2bo13bo247bo7b3o2bob2ob234o\$20bo2bo13bo247bo7b3o2bob2ob234o\$21b6o10bo247bo4bo2b3o2bob2ob234o\$37bo247bo4bo2b3ob2ob237o\$26bo10bo246b3o3bo2b6ob237o\$26bo10bo246b3o3bo2b6ob237o\$26bo10bo246b3o2b2o2b6ob237o\$26bo10bo238bo7b3o2b2o2b6ob237o\$20b7o10bo238b2o6b3ob3ob245o\$37bo238b2o6b3ob3ob245o\$20b6o11bo238b2o6b3ob3ob245o\$26bo10bo238b2o6b3ob3ob245o\$26bo10bo238b2o4bob3ob249o\$26bo10bo238b2o4bob253o\$20b6o11bo232bo5b2o4bob253o\$37bo232bo5b2o4bob253o\$21b2o14bo232bo5b3o2b256o\$20bo2bo13bo232bo5b3o2b256o\$20bo2bo13bo229bo2bo5b3o2b256o\$20bo2bo13bo229bo2bo3bob3o2b256o\$20b7o10bo225bo3bo2bo3bob3o2b256o\$37bo225bo3bo2b2ob2ob261o\$21b5o11bo225bo3bo2b2ob2ob261o\$20bo5bo10bo225bo3bo2b2ob2ob261o\$20bo5bo10bo221bo3bo3bo2b2ob260ob3o\$20bo5bo10bo221bo3bo3bo2b2ob260ob3o\$21b5o11bo221bo3bo3bo2b2ob260ob3o\$37bo221b2o2bo3bob3ob254ob5ob3o\$21b2o14bo221b2o2bo3b5ob254ob5ob3o\$20bo2bo13bo221b2o2bo3b252ob7obob3obo\$20bo2bo13bo221b2o2bo3b252ob6o2bob3obo\$20bo2bo13bo221b2o2bo3b252ob6o2bob2o2bo\$20b7o10bo221b2o2bo3b247ob4ob6o\$37bo221b3obo3b247ob4ob6o\$37bo221b3obobob247ob2obob2ob3o\$37bo206bo14b3ob3ob247ob2obob2o2bo\$37bo206bo14b3ob3ob245obob2obobo\$37bo206bo14b3ob3ob245obob2obobo\$37bo206bo13b4ob3ob236ob8obo2bobo\$37bo206bo4bo8b4ob3ob236ob7o2bo2bo\$37bo206bo4bo7b5ob240ob7o2bo\$37bo206bo4bo4b2ob244o3b3o2bo\$37bo206bo4b2o3b241ob5o3b3o2bo\$37bo206bo4b4ob241o2bob2o\$37bo205b2o4b4ob241o2bob2o\$37bo205b2o4b4ob241o2bob2o\$37bo205b2ob2ob4ob236ob2obo2bo\$37bo205b2ob2ob240o2b2obo2bo\$37bo201bo2b3ob2ob240o2bo2bo\$37bo201bo2b3ob2ob237obo3bo2bo\$37bo201bo2b3ob2ob237o\$37bo198bo2bo2b3ob2ob234o2bo\$37bo198bo2bo2b3ob2ob232obo2bo\$37bo198bob2ob7ob228o2b2o4bo\$37bo198bob2ob7ob213ob5ob7o3b2o\$37bo198bob2ob221ob5ob3ob3o3b2o\$37bo197b2ob224ob2ob2ob3obobo3b2o\$37bo192bo4b227ob2ob2obobobobo\$37bo192bo4b227ob2ob2o3bobobo\$37bo192bo4b227ob2ob2o5bobo\$37bo192bo4b226o2b2obo8bo\$37bo192bo4b226o5bo\$37bo192bob222ob6o\$37bo190bobob222obo2b3o\$37bo190bobob217ob4obo2bobo\$37bo189b2obob214ob2o2b3obo2bo\$37bo189b2obob209ob4ob2o3bo2bo2bo\$37bo184bo4b214ob4obo7bo\$37bo184bob2ob214ob4o9bo\$37bo174bo9bob2ob214ob2obo\$37bo174bo6bo2bob2ob208ob4o2b2obo\$37bo174bo6b2obob211ob4o2bo2bo\$37bo174bobo4b2obob210o5bo2bo2bo\$37bo174bobo4b2obob206ob3o8bo2bo\$37bo174bob2o3b211obobo11bo\$37bo174bob2o3b203ob5o3bobo\$37bo173b2ob2o3b203ob5o3bo\$37bo170b2ob2ob3ob204ob4o\$37bo170b2ob2ob205ob2ob4o\$37bo170b5ob203obob2ob4o\$37bo167bo2b5ob199obobobo2bob4o\$37bo167bo2b5ob199obobobo2bo2bobo\$37bo167bo2b5ob192ob6obo3bo2bo2bo\$37bo167bo2b5ob189o2bob6o5bo5bo\$37bo164bo2b2ob195o2bob2ob3o11bo\$37bo163b2o2b2ob195o2bo2bobobo\$37bo163b2o2b2ob195o5bobobo\$37bo163b2o2b2ob195o7bobo\$37bo157bo5b2o2b2ob190ob3o8bobo\$37bo157bo5b3ob191obob2o\$37bo157bo5b3ob191obo2bo\$37bo157bo2bob192ob3obo\$37bo157bob2ob184ob7ob3obo\$37bo157bob2ob184ob7ob3o\$37bo153bo3bob2ob182obob4ob2obo\$37bo153bo3bob2ob182obob3o2b2obo\$37bo153bo3bob2ob182obob3o2bo2bo\$37bo153bobobob2ob179obo2bo2b2o5bo\$37bo153bobobob2ob179obo2bo9bo\$37bo153bob3ob2ob179obo2bo9bo\$37bo151b3ob6ob179obo\$37bo151b3ob6ob177obo\$37bo148bo2b3ob6ob165ob9obo\$37bo148bo2b10ob165o2b8o\$37bo144bo3bob177o2b2obobo\$37bo133bo10bo3b174ob4o2b2o\$37bo133bo7bo2bo2b175ob4o2bo\$37bo133bo2bo4bo2b2ob175obobo\$37bo133bo2bo4bo2b2ob169o3b3o3bo\$37bo133bo2bo4b2ob2ob169o3b3o3bo\$37bo133bo2bo4b2ob2ob165ob3o4b2o\$37bo133bo2bo4b2ob2ob165o3bo4b2o\$37bo133bo2bo4b2ob2ob165o9bo\$37bo133bo2bo3b3ob2ob160ob4o\$37bo133bo2bo3b3ob158o2b2o2b4o\$37bo133bo2bob162obo2bo3b4o\$37bo133bo2bob162obo2bo5b2o\$37bo133bo2bob161o2bo2bo5b2o\$37bo132b2o2bob157obobo2bo2bo5bo\$37bo132b2ob2ob151ob5obo4bo\$37bo132b2ob2ob151ob2o2bo6bo\$37bo131b3ob2ob151ob2o2bo6bo\$37bo128bob4ob2ob146ob4ob2o2bo6bo\$37bo125bo2bob4ob2ob146ob2obo2bo\$37bo125bob7ob146ob2o2bo4bo\$37bo125bob7ob143ob2obo\$37bo123bobob7ob141obob2o\$37bo120bo2b3ob7ob141obob2o\$37bo117bo2bo2b3ob7ob136ob4obob2o\$37bo114bo2bo2bo2b3ob144ob4obob2o\$37bo114bo2bo2bob4ob141ob2ob4o3b2o\$37bo114bo2bo2bob4ob138ob2ob2o2bo\$37bo114bo2bo2bob4ob138ob2ob2o2bo\$37bo114bo2bo2bob4ob136obob2obo\$37bo114bo2b2ob6ob136obobo2bo\$37bo114bo2b2ob6ob135o4bo2bo\$37bo111bo2bo2b138ob4obo4bo2bo\$37bo111bo2b141ob4o\$37bo111bob142ob4o\$37bo109bobob140obob4o\$37bo109bobob130ob5obobo3b3o\$37bo101bo7bobob130ob5obo6bo\$37bo101bo5b3ob132ob2ob2o8bo\$37bo101bo3bob3ob132ob2ob2o\$37bo101bo3bob3ob125obo2b2o5b2o\$37bo101bobob5ob125obo3bo6bo\$37bo101bobob5ob125obo\$37bo99bobobob5ob125obo\$37bo99bobobob5ob118ob2obobobo\$37bo98b4obob5ob118ob2o\$37bo98b6ob5ob118o2bo\$37bo98b129obo\$37bo93bo4b124o2b3obo\$37bo93bo4b119o2bobo2b2o\$37bo90bo2bo4b119o2bobo2b2o\$37bo87bo2bo2b4ob118o5bo3bo\$37bo87b2obo2b4ob118o5bo\$37bo87b2obo2b120o2bo\$37bo87b2obo2b113ob5o3bo\$37bo87b2obo2b113obob3o\$37bo87b2ob2ob113obob3o\$37bo87b2ob2ob110ob2obobobo\$37bo85bob2ob113ob2obo\$37bo85bob2ob110ob2obo2bo\$37bo82bob2ob2ob110obo2bo2bo\$37bo82bob2ob112o2bo\$37bo82bob105ob2obobo\$37bo82bob105ob2obobo\$37bo82bob100ob4o2bobobo\$37bo69bo6bo2bo2bob100ob4o6bo\$37bo69bo6bo2bo2bob100ob2obo\$37bo69bo6bo2bo2b102o2bobo\$37bo69bo6bo2bob100ob2o2bo\$37bo69bo6bo2bob99o2b2o2bo\$37bo69bo6bob2ob90obob4o8bo\$37bo69bobo4bob2ob90obob2obo8bo\$37bo69bobo2bobob2ob86ob2o2bob2obo\$37bo69bobo2bobob2ob86o2bo2bo2bobo\$37bo69bobo2b6ob85o3bo2bo2bobo\$37bo68b2obo2b92o6bo4bo\$37bo67b3ob95o\$37bo67b99o\$37bo63bo3b92ob3ob2o\$37bo62b2o3b91o3bo2bo\$37bo58bo3b3o2b88obo\$37bo58bo3b3o2b82obob3obo\$37bo58bo3b3o2b82obo2b2obo\$37bo58bo3b3o2b81o2bo2bo\$37bo57b2o3b3ob82o2bo\$37bo52bo2bob2o3b3ob77o2b3o\$37bo52bo2b4obob81o2b2o\$37bo52bo2b4obob71ob8o3b2o\$37bo52bo2b4ob73ob5o6bo\$37bo52bob5ob72o2b5o\$37bo52bob5ob72o2b5o\$37bo52bob5ob72o2bo2b2o\$37bo52bob5ob72o2bo2bo\$37bo52bob5ob71o3bo2bo\$37bo52bob5ob62obob4o8bo\$37bo52b7ob62obo3b2o8bo\$37bo47bo2b70obobo4bo\$37bo43bo2b2o2b70o3bo4bo\$37bo39bo2b2o2b2ob65o4b2o8bo\$37bo39bo2b2o2b68o\$37bo39bo2b3ob67o\$37bo39bo2b3ob66o\$37bo39bo2b3ob57obob3obo\$37bo39bo2b61obo2b2o\$37bo39bo2b61obo3bo\$37bo36bo2bo2b57obo3bo\$37bo36bo2bo2b56o\$37bo34bobob2ob57o\$37bo34bob4ob51ob2o2bo\$37bo34b6ob46ob2o4bo\$37bo34b6ob46obo\$37bo34b6ob43obo2bo\$37bo31bo2b50obo\$37bo28bo2bob51obo\$37bo28bob2ob51o\$37bo25bo2bob2ob43ob2ob2o\$37bo23bob2obob2ob43obo2b2o\$37bo23bob7ob41obo4bo\$37bo20bo2bob7ob35ob5o\$37bo20bob2ob43ob2obo\$37bo20bob2ob43ob2o\$37bo20bob2ob42o2b2o\$37bo20bob2ob40o4bo\$37bo20bob2ob35ob4o\$37bo20bob38obo2bo\$37bo19b2ob30ob4ob2o\$37bo15bobob2ob30ob3o2b2o\$37bo15bobob33o6bo\$37bo15bob34o\$37bo14b2ob29ob4o\$37bo12bob32obob2o\$37bo12bob30obo4bo\$37bo11b2ob29o\$37bo9bob31o\$37bo9bob24obo2b2o\$37bo6bo2bob22obo4bo\$37bo6b2ob24obo4bo\$37bo3b2ob24ob2o\$37bo3b2ob22o3b2o\$37bo3b2ob19obo4bo\$37bo3b2ob18o7bo\$37bo3b2ob16o9bo\$37bo3b16o\$37bo3b14o\$37bob13ob2o\$25bo11bob10ob2o\$24b2o11b12o\$23bobo11b7ob4o\$22bo2bo11b7obo\$22b5o10b501o\$25bo\$25bo8\$35b3o185b3o2b5obo3bob5ob4o3b3o2b5o2b3o3b3o2bo3bo10bo34bo4b3o4bo4b3o3bo175bo4b3o3b3o3b3o3b3o\$34bo3bo183bo3bobo5b2o2bobo5bo3bobo3bo3bo5bo3bo3bob2o2bo9bo11bo22b2o3bo3bo2bobo2bo3bo3bo173b2o3bo3bobo3bobo3bobo3bo\$34bo2b2o183bo5bo5bobobobo5bo3bobo3bo3bo5bo3bo3bobobobo9bo4b4ob5o2b3o2b4o2b5o3bo3bo2b2obo3bobo2b2o3bo174bo3bo2b2obo2b2obo2b2obo2b2o\$34bobobo183bo2b2ob3o3bo2b2ob3o3b4o2b5o3bo5bo3bo3bobo2b2o9bo3bo7bo3bo3bobo3bo9bo3bobobo7bobobo3bo174bo3bobobobobobobobobobobobo\$34b2o2bo183bo3bobo5bo3bobo5bo2bo2bo3bo3bo5bo3bo3bobo3bo9bo4b3o4bo3b5obo3bob5o3bo3b2o2bo7b2o2bo3bo174bo3b2o2bob2o2bob2o2bob2o2bo\$34bo3bo183bo3bobo5bo3bobo5bo3bobo3bo3bo5bo3bo3bobo3bo9bo7bo3bo3bo5bo3bo9bo3bo3bo7bo3bo3bo174bo3bo3bobo3bobo3bobo3bo\$35b3o185b3o2b5obo3bob5obo3bobo3bo3bo4b3o3b3o2bo3bo10bo2b4o5b2o2b4ob4o9b3o3b3o9b3o3bo174b3o3b3o3b3o3b3o3b3o\$312bo\$312bo!`
Ian07

Posts: 209
Joined: September 22nd, 2018, 8:48 am

### Re: Thread for basic questions

danny wrote:Does this pattern ever reach a population of 16 again after generation 55?

`x = 6, y = 1, rule = B2ac/S2o2b2o!`

There's some kind of hard lower bound that keeps increasing. But maybe more interesting, if you turn off the lines on the population plot, there's a central band of allowable population also, and then a lot of empty space otherwise between fairly narrow upper and lower bounding regions:

100K generations of B2ac/S replicator, with dots for population
replicator-pop-plot.PNG (53.3 KiB) Viewed 2736 times

dvgrn
Moderator

Posts: 5620
Joined: May 17th, 2009, 11:00 pm

### Re: Thread for basic questions

How would you go about simulating Sparse Life? Can anyone explain how universal constructors could eventually occur naturally?
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1085
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Thread for basic questions

dvgrn wrote:
danny wrote:Does this pattern ever reach a population of 16 again after generation 55?

`x = 6, y = 1, rule = B2ac/S2o2b2o!`

There's some kind of hard lower bound that keeps increasing. But maybe more interesting, if you turn off the lines on the population plot, there's a central band of allowable population also, and then a lot of empty space otherwise between fairly narrow upper and lower bounding regions:

I suspect the reason for that is simply that the not-quite-a-replicator not-quite-replicates at p3, with one of the lines containing generations 0 mod 3, another 1 mod 3 and the last 2 mod 3.

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Thread for basic questions

Is payment-over-SHA256 literally payment? Sorry for the stupid question.
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 1484
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Thread for basic questions

Moosey wrote:Is payment-over-SHA256 literally payment? Sorry for the stupid question.

...only of a relatively small amount of your computing power (used to prevent DDoS attacks).
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2025
Joined: June 1st, 2009, 4:32 pm

### Re: Thread for basic questions

How can patterns in "Rules with Interesting Dynamics" thread be useful in real-life applications?
For example:
`x = 32, y = 16, rule = B2ce3i/S2-a34-aiq3o2bo2b2ob5obo2b5ob5o\$o4bo3b2obobo4bo2bo2bobobobo\$b2ob5o2b2o4bobo4b2obo3bo\$4o3b2o2b2ob3obo3b4ob5o\$2bo3bo2b3o2bo3bobo2bo2bo3bo\$2b4ob8ob2o2bo2b2obo2b3o\$4ob3obob2obobob7o3bobo\$bobo3b3ob6o2b2obo2bob3obo\$obob3o3bob4o2bo2b2o2b3obobo\$2b2o4b3o2bo4b2obo2bo4b3o\$2b2obob3o4b2obo7b2obobo\$bo2b4o3bo2bobobo4b4ob2obo\$2ob2obo2bo3bobo4bob2obobobobo\$2bo3b3ob4ob7o2bobo2bo\$9o3bob3obob8ob2o\$o2b4ob3obob2ob3obobobobob3o!`
This post was brought to you by the Element of Magic.

Plz correct my grammar mistakes. I'm still studying English.

Working on:

Nothing.

Favorite gun ever:
`#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo\$4o3\$4o\$o2bo!`
Hunting

Posts: 1031
Joined: September 11th, 2017, 2:54 am
Location: Ponyville, Equestria

### Re: Thread for basic questions

Real-life as in life life, or B3/S23 life?

testitemqlstudop

Posts: 736
Joined: July 21st, 2016, 11:45 am
Location: very very very very boats

### Re: Thread for basic questions

What do the three numbers after yl in an apgcode mean? (ylxxx_xxx_xxx_SEEMINGLYRANDOMCHARACTERS)
I think the first is "period"

testitemqlstudop

Posts: 736
Joined: July 21st, 2016, 11:45 am
Location: very very very very boats

### Re: Thread for basic questions

testitemqlstudop wrote:What do the three numbers after yl in an apgcode mean? (ylxxx_xxx_xxx_SEEMINGLYRANDOMCHARACTERS)
I think the first is "period"

I know another represents period of debris. Not sure which one.
But yes, the first is definitely period.

Perhaps one number encodes whether it’s SS linear growth (like blockstacker), SM (a gun), MS (a puffer), or MM (a rake)? I’m not sure.
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 1484
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Thread for basic questions

Moosey wrote:
testitemqlstudop wrote:What do the three numbers after yl in an apgcode mean? (ylxxx_xxx_xxx_SEEMINGLYRANDOMCHARACTERS)
I think the first is "period"

I know another represents period of debris. Not sure which one.
But yes, the first is definitely period.

Perhaps one number encodes whether it’s SS linear growth (like blockstacker), SM (a gun), MS (a puffer), or MM (a rake)? I’m not sure.

If I remember correctly, this is what each number means:
First: the period of the population growth of the pattern. Note that this is not always the same as the pattern's "true" period (see below).
Second: The overall period of the debris.
Third: The amount the population grows by each period (again, this is based on the period of the population plot, not the period of the actual pattern).
Fourth: Some sort of hashing function, I think.

For example, the BLSE is glide-symmetric and its population plot therefore repeats every half-period, and apgsearch therefore classifies it as yl144 despite its actual period being 288:
`x = 539, y = 536, rule = B3/S23251b3o2bo6b3o2b4o2b4o3b3o3b3o2b4o2b4o\$250bo3bobo7bo3bo3bobo3bobo3bobo3bobo3bobo3bo\$250bo5bo7bo3bo3bobo3bobo3bobo3bobo3bobo3bo\$250bo5bo7bo3b4o2b4o2bo3bob5ob4o2bo3bo\$250bo5bo7bo3bo5bo3bobo3bobo3bobo2bo2bo3bo\$250bo3bobo7bo3bo5bo3bobo3bobo3bobo3bobo3bo\$251b3o2b5o2b3o2bo5b4o3b3o2bo3bobo3bob4o8\$b3o3b3o2b5o\$o3bobo3bo5bo\$4bo5bo4bo\$2b2o5bo4bo12bo497bo\$4bo3bo4bo13bo497bo\$o3bo2bo4bo14bo497bo\$b3o2b5obo14bo497bo\$27bo484bo12bo\$27bo484bo12bo\$27bo484bo12bo\$27bo484bo12bo\$27bo484bo12bo\$27bo484b2o11bo\$27bo484b2o11bo\$27bo484b2o11bo\$27bo484b2o11bo\$27bo484b2o11bo\$27bo484b2o11bo\$27bo484b3o10bo\$27bo484b3o10bo\$27bo484b3o10bo\$27bo484b3o10bo\$27bo484b3o10bo\$27bo484b3o10bo\$27bo484b3o10bo\$27bo480bo3b3o10bo\$27bo480bo3b3o10bo\$27bo480bo3b3o10bo\$27bo480b2o2b4o9bo\$27bo480b2o2b4o9bo\$27bo480b2o2b4o9bo\$27bo480b2o2b4o9bo\$27bo461bo18b2o2b4o9b2o\$27bo461bo18b2o2b4o9b2o\$27bo461bo18b2o2b4o9b2o\$27bo448bo12bo18b2o2b4o9b2o\$27bo448bo12bo18b2o2b4o9b2o\$27bo448bo12bo18b2o2b4o9b2o\$27bo448bo12bo18b2o2bob2o9b2o\$27bo448bo12bo18b2o2bob2o9b2o\$27bo448b2o11bo18b2o2bob2o9b2o\$27bo448b2o11bo18b2o2bob2o9b2o\$27bo448b2o11bo18b2o2bob2o9b2o\$27bo448b2o11bo18b2o2bob2o9b2o\$27bo448b2o11bo18b2o2bob2o9b2o\$27bo448b2o11bo18b2o2bob2o9b2o\$27bo448b3o10bo18b2o2bob2o9b2o\$27bo448b3o10bo18b2o2bob2o9b2o\$27bo448b3o10bo18bobobob3o8b2o\$27bo448b3o10bo13b2o3bobobob3o8b2o\$27bo448b3o10bo13b2o3bobobob3o8b2o\$27bo448b3o10bo13b2o3bob3ob3o8b2o\$27bo448b3o10bo13b2o3bob3o2b2o8b2o\$27bo444bo3b3o10bo13b2o3bob3o2b2o7bobo\$27bo444bo3b3o10bo13b2o3bob3o3bo7bobo\$27bo444bo3b3o10bo13b2o2b2ob3o3bo7bobo\$27bo444b2o2b4o9bo13b2o2b2ob3o3bo4bo2bobo\$27bo444b2o2b4o9bo13b2o2bo2b3o3bo4bo2bobo\$27bo444b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2obo\$27bo444b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2obo\$27bo425bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob2o\$27bo425bo18b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob2o\$27bo425bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob2o\$27bo412bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob2o\$27bo412bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob2o\$27bo412bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob2o\$27bo412bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob2o\$27bo412bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob2o\$27bo412bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obo\$27bo412b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obo\$27bo412b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obo\$27bo412b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obo\$27bo412b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obo\$27bo412b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obo\$27bo412b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obo\$27bo412b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obo\$27bo412b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2obo\$27bo412b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o\$27bo412b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b3ob2o\$27bo412b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o\$27bo412b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o\$27bo408bo3b3o10bo13b2o3bob3o2b2o7bob3o4bo2bobo2b2o9b2ob2ob3o\$27bo408bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo\$27bo408bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o9b2obo2bobo\$27bo408b2o2b4o9bo13b2o2b2ob3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo\$27bo408b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo\$27bo408b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo\$27bo408b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo\$27bo389bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo\$27bo389bo18b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo\$27bo389bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo\$27bo389bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo\$27bo376bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo\$27bo376bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo\$27bo376bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo\$27bo376bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo\$27bo376bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo\$27bo376b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo\$27bo376b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo\$27bo376b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo\$27bo376b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo\$27bo376b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo\$27bo376b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14b3o\$27bo376b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o\$27bo376b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o\$27bo376b3o10bo18bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o\$27bo376b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o\$27bo376b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2b2ob2o16b3o\$27bo376b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o\$27bo372bo3b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o\$27bo372bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o\$27bo372bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o9b2obo2bobo4bob2ob3o16b2o\$27bo372bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o\$27bo372b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o\$27bo372b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo372b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo353bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo353bo18b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo9b4ob2o\$27bo353bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o\$27bo353bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo340bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo340bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo340bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo340bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo340bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo340b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo340b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo340b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo340b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo340b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo340b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14b3o10b2o\$27bo340b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$27bo340b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o\$27bo340b3o10bo18bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo340b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo340b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b2ob3o4bo2b2ob2o16b3o11bo\$27bo340b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo336bo3b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo336bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o\$27bo336bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bob2ob3o16b2o\$27bo336bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o\$27bo336b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o\$27bo336b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo336b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo317bo18b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo317bo18b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo9b4ob2o\$27bo317bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o\$27bo317bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo304bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo304bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo304bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo304bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo304bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo304b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo304b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo304b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo304b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo304b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo304b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14b3o10b2o\$27bo304b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$27bo304b3o10bo18bobobob2o9b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o\$27bo304b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo304b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo304b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b2ob3o4bo2b2ob2o16b3o11bo\$27bo304b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo300bo3b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo300bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o\$27bo300bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bob2ob3o16b2o\$27bo300bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o\$27bo300b2o2b4o9bo13b2o2b2ob3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o\$27bo300b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo300b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo300b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo281bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo281bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o\$27bo281bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo268bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo268bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo268bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo268bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo268bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo268b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo268b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo268b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo268b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo268b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo268b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo268b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$27bo268b3o10bo18b2o2bob2o9b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o\$27bo268b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2o3b2o2b2ob2obo14b3o10b2o\$27bo268b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo268b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b2ob3o4bo2b2ob2o16b3o11bo\$27bo268b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2b5o16b3o11bo\$27bo268b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo264bo3b3o10bo13b2o3bob3o2b2o7bob3o4bo2bobo2b2o9b2obo2b3o4bo2bob3o16b3o11bo\$27bo264bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bob2ob3o16b2o\$27bo264bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o\$27bo264b2o2b4o9bo13b2o2b2ob3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o\$27bo264b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo264b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo264b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo245bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo245bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o\$27bo245bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo232bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo232bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo232bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo232bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo232bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo232b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo232b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo232b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo232b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo232b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo232b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo232b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$27bo232b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$27bo232b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o\$27bo232b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo232b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b3ob2o4bo2b2ob2o16b3o11bo\$27bo232b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2b5o16b3o11bo\$27bo232b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo228bo3b3o10bo13b2o3bob3o2b2o7bob3o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo228bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o\$10b7o10bo228bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o9b2obo2bobo4bob2ob3o16b2o\$13bo13bo228b2o2b4o9bo13b2o2b2ob3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o\$12bo14bo228b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo\$11bo15bo228b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo\$10b7o10bo228b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo209bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$11b5o11bo209bo18b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo9b4ob2o\$10bo5bo10bo209bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o\$10bo5bo10bo196bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$10bo5bo10bo196bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$11b5o11bo196bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo196bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo196bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$10bo5bo10bo196bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$10b7o10bo196b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$10bo5bo10bo196b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo196b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo196b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$10bo16bo196b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$10bo16bo196b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$10b7o10bo196b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$10bo16bo196b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o\$10bo16bo196b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo196b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b3ob2o4bo2b2ob2o16b3o11bo\$11b6o10bo196b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2b5o16b3o11bo\$10bo2bo13bo196b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$10bo2bo13bo192bo3b3o10bo13b2o3bob3o2b2o7bob3o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$10bo2bo13bo192bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o\$11b6o10bo192bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o9b2obo2bobo4bob2ob3o16b2o\$27bo192b2o2b4o9bo13b2o2b2ob3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o\$16bo10bo192b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo\$16bo10bo192b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo\$16bo10bo192b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$16bo10bo173bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$10b7o10bo173bo18b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo9b4ob2o\$27bo173bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o\$10b6o11bo173bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$16bo10bo160bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$16bo10bo160bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$16bo10bo160bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$10b6o11bo160bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo160bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$11b2o14bo160b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$10bo2bo13bo160b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$10bo2bo13bo160b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$10bo2bo13bo160b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$10b7o10bo160b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo160b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14b3o10b2o\$11b5o11bo160b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$10bo5bo10bo160b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o\$10bo5bo10bo160b3o10bo18bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$10bo5bo10bo160b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$11b5o11bo160b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2b2ob2o16b3o11bo\$27bo160b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$11b2o14bo156bo3b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$10bo2bo13bo156bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o\$10bo2bo13bo156bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o9b2obo2bobo4bob2ob3o16b2o\$10bo2bo13bo156bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o\$10b7o10bo156b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o\$27bo156b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo156b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo137bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo137bo18b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo9b4ob2o\$27bo137bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o\$27bo137bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo124bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo124bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo124bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo124bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo124bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo124b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo124b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo124b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo124b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo124b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo124b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14b3o10b2o\$27bo124b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$27bo124b3o10bo18bobobob2o9b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o\$27bo124b3o10bo18bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo124b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo124b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b2ob3o4bo2b2ob2o16b3o11bo\$27bo124b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo120bo3b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo120bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o\$27bo120bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bob2ob3o16b2o\$27bo120bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o\$27bo120b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o\$27bo120b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo120b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo101bo18b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo101bo18b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo9b4ob2o\$27bo101bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o\$27bo101bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo88bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo88bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo88bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo88bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo88bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo88b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo88b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo88b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo88b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo88b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo88b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14b3o10b2o\$27bo88b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$27bo88b3o10bo18bobobob2o9b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o\$27bo88b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo88b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo88b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b2ob3o4bo2b2ob2o16b3o11bo\$27bo88b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo84bo3b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo84bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o\$27bo84bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bob2ob3o16b2o\$27bo84bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o\$27bo84b2o2b4o9bo13b2o2b2ob3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o\$27bo84b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo84b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo84b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo65bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo65bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o\$27bo65bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo52bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo52bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo52bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo52bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo52bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo52b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo52b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo52b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo52b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo52b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo52b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo52b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$27bo52b3o10bo18b2o2bob2o9b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o\$27bo52b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2o3b2o2b2ob2obo14b3o10b2o\$27bo52b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo52b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b2ob3o4bo2b2ob2o16b3o11bo\$27bo52b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2b5o16b3o11bo\$27bo52b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo48bo3b3o10bo13b2o3bob3o2b2o7bob3o4bo2bobo2b2o9b2obo2b3o4bo2bob3o16b3o11bo\$27bo48bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bob2ob3o16b2o\$27bo48bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o\$27bo48b2o2b4o9bo13b2o2b2ob3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o\$27bo48b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo48b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo48b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo29bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo29bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o\$27bo29bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo16bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo16bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo16bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo16bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo16bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo16b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo16b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo16b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo16b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo16b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo16b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo16b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$27bo16b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$27bo16b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o\$27bo16b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo16b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b3ob2o4bo2b2ob2o16b3o11bo\$27bo16b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2b5o16b3o11bo\$27bo16b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo12bo3b3o10bo13b2o3bob3o2b2o7bob3o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo12bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o\$27bo12bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o9b2obo2bobo4bob2ob3o16b2o\$27bo12b2o2b4o9bo13b2o2b2ob3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o\$27bo12b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo12b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo12b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo12b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo12b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo9b4ob2o\$27bo12b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o\$27bo12b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo12b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo12b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo12b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo12b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo12b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo12b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo12b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo12b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo12b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo12b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo12b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$27bo12b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$27bo12bobobob3o8b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o\$27bo7b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo7b2o3bobobob3o8b4o9bo2b2o9bo2b3ob2o4bo2b2ob2o16b3o11bo\$27bo7b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2b2ob2o16b3o11bo\$27bo7b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo7b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bo7b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o\$27bo7b2o2b2ob3o3bo7bob3o4bo2b3o2b2o9b2obo2bobo4bob2ob3o16b2o\$27bo7b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o\$27bo7b2o2bo2b3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o\$27bo7b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo\$27bo7b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo7b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o\$27bo7b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo9b4ob2o\$27bo7b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o\$27bo7b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo7b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o\$27bo7b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo7b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo7b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o\$27bo7b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo7b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo7b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo7b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o\$27bo7b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo7b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o\$27bo7b3obo3bo4bo2b3ob2obob2o2b2o2b3o14b3o10b2o\$27bo7b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o\$27bo7b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o\$27bo6b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bo6b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo\$27bobo2bobo2b2o9b2ob2ob3o4bo2b2ob2o16b3o11bo\$27bobo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bobo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo\$27bobo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o\$27bobo2b3o2b2o9b2obo2bobo4bob2ob3o16b2o\$27bobo2b3o2b2o10bobo2bo6bob2ob3o16b2o\$27bobo2b3o2b2o10bobo2bo6b4ob3o16b2o\$27bobo2b3o3bo10bobo9b4ob3o17bo\$27bobo2b3o3bo10bobo9b4ob2o\$27bobo2b3o3bo10bobo9b4ob2o\$27bobo2b3o14bobo9b4ob2o\$27bobo2b3o14bobo9b4ob2o\$27bobo2b3o14bobo9b3o\$27bobo2b3o14bobo9b3o\$27bobo2b3o14bobo10b2o\$27bobo2b3o14bobo10b2o\$27bobo2b3o14bobo10b2o\$27bobo2b3o14bobo10b2o\$27bobo2b3o14bobo10b2o\$27bobo2b3o14bobo10b2o\$27bobo2b3o14bobo10b2o\$27bobo2b3o14bobo10b2o\$27b3o2b3o14bobo10b2o\$27b3o2b3o14b3o10b2o\$27b3o2bobo14b3o10b2o\$27b3ob2obo14b3o10b2o\$27b3ob2obo14b3o11bo\$27b3ob2obo14b3o11bo\$27b3ob2o16b3o11bo\$27b2ob3o16b3o11bo\$27b2ob3o16b3o11bo\$27b2ob3o16b2o\$27b2ob3o16b2o\$27b2ob3o16b2o\$27b2ob3o16b2o\$27b2ob3o17bo\$27b2ob3o17bo\$27b2ob2o\$27b2ob2o\$27b2ob2o\$27bo\$27bo\$27bo\$27bo\$27bo\$27bo\$27bo\$27bo\$27bo\$27bo\$27bo\$27bo\$27bo\$27bo\$9bo3b3o11bo\$8b2o2bo3bo10bo\$7bobo6bo10bo\$6bo2bo4b2o11bo\$6b5o5bo10b501o\$9bo2bo3bo\$9bo3b3o8\$25b3o185b3o2b5obo3bob5ob4o3b3o2b5o2b3o3b3o2bo3bo10bo34bo4b3o4bo4b3o3bo177b3o3b3o3b3o3b3o\$24bo3bo183bo3bobo5b2o2bobo5bo3bobo3bo3bo5bo3bo3bob2o2bo9bo11bo22b2o3bo3bo2bobo2bo3bo3bo175bo3bobo3bobo3bobo3bo\$24bo2b2o183bo5bo5bobobobo5bo3bobo3bo3bo5bo3bo3bobobobo9bo4b4ob5o2b3o2b4o2b5o3bo3bo2b2obo3bobo2b2o3bo179bobo2b2obo2b2obo2b2o\$24bobobo183bo2b2ob3o3bo2b2ob3o3b4o2b5o3bo5bo3bo3bobo2b2o9bo3bo7bo3bo3bobo3bo9bo3bobobo7bobobo3bo178bo2bobobobobobobobobo\$24b2o2bo183bo3bobo5bo3bobo5bo2bo2bo3bo3bo5bo3bo3bobo3bo9bo4b3o4bo3b5obo3bob5o3bo3b2o2bo7b2o2bo3bo177bo3b2o2bob2o2bob2o2bo\$24bo3bo183bo3bobo5bo3bobo5bo3bobo3bo3bo5bo3bo3bobo3bo9bo7bo3bo3bo5bo3bo9bo3bo3bo7bo3bo3bo176bo4bo3bobo3bobo3bo\$25b3o185b3o2b5obo3bob5obo3bobo3bo3bo4b3o3b3o2bo3bo10bo2b4o5b2o2b4ob4o9b3o3b3o9b3o3bo176b5o2b3o3b3o3b3o\$302bo\$302bo!`

On the other hand, this replicator-based puffer from HighLife is classified as a yl960 rather than a yl192 since the p10 oscillators are out of phase with one another:
`x = 16, y = 16, rule = B36/S239bo\$ob2o4bobo3b2o\$2bo2b2o2bob3obo\$2b7ob2obobo\$3bob4o3b2o\$2ob2o2bo6b2o\$o3bobob2obob3o\$3b3ob2obob2obo\$b3obo4bo2bo\$ob4o3bo\$4bobo5bobo\$2o2bo3b2ob2o2bo\$ob3o2bo5b3o\$3bo4b2o4b2o\$3obo3b3ob2obo\$2b2o6bob4o!`
Ian07

Posts: 209
Joined: September 22nd, 2018, 8:48 am

### Re: Thread for basic questions

Ian07 wrote:Fourth: Some sort of hashing function, I think.

Specifically, it's a hash of the yl's population plot, which is why the presence of oscillators near the yl's output can sometimes create yls which differ only in the hash, not the first three parameters.

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Thread for basic questions

thanks! Very interesting

testitemqlstudop

Posts: 736
Joined: July 21st, 2016, 11:45 am
Location: very very very very boats

### Re: Thread for basic questions

testitemqlstudop wrote:Real-life as in life life, or B3/S23 life?

As in non-CA related life.
This post was brought to you by the Element of Magic.

Plz correct my grammar mistakes. I'm still studying English.

Working on:

Nothing.

Favorite gun ever:
`#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo\$4o3\$4o\$o2bo!`
Hunting

Posts: 1031
Joined: September 11th, 2017, 2:54 am
Location: Ponyville, Equestria

### Re: Thread for basic questions

Another stupid question:

Is a SMOS even possible in B3/S23?
This post was brought to you by the Element of Magic.

Plz correct my grammar mistakes. I'm still studying English.

Working on:

Nothing.

Favorite gun ever:
`#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo\$4o3\$4o\$o2bo!`
Hunting

Posts: 1031
Joined: September 11th, 2017, 2:54 am
Location: Ponyville, Equestria

### Re: Thread for basic questions

Hunting wrote:Another stupid question:

Is a SMOS even possible in B3/S23?

Yes, definitely.

I have a general Idea for a SMOG (spaceship made of gliders) but am not sure if it would work.

My idea is a bunch of gliders make a crab tubstretcher, then some collide into it and produce more gliders, and then a LWSS salvo or something crashes into the crab and cleanly destroys it.
The new gliders would be the same ones in the initial setup in terms of relative position, just displaced a bit.

SMOSses definitely exist in B3/S23 because of the 0E0P metacell, though. Also SMOSMOS.

My own basic question:
Magic sauce?
`Creating magic sauce for rule b3-ck4e5k6is2-in35i6c8...`
Last edited by Moosey on February 23rd, 2019, 12:02 pm, edited 2 times in total.
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 1484
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Thread for basic questions

Moosey wrote:SMOSses definitely exist in B3/S23 because of the 0E0P metacell, though.

There's also a thread about a self-synthesizing spaceship (a.k.a. a SMOG) with a fairly detailed design laid out.

I think it's probably possible to do something a bit more efficient nowadays, by taking ideas from chris_c's camelship and the upcoming quadratic-growth replicator. But, yeah, CGoL SMOSes are definitely doable.

0E0P metacell-based ones are maybe a bit unsatisfactory because you can't really watch them work, but we could build one that would run in Golly about as well as a loopship.

dvgrn
Moderator

Posts: 5620
Joined: May 17th, 2009, 11:00 pm

### Re: Thread for basic questions

I thought it might be interesting to have a thread where we try to work out minimal SMOSes, RROs and quadratic replicators based on the 0E0P metacell. Of course we wouldn't be able to run them in Golly, but we could calculate their bounding box and population. It would be a fun synthesis of OCA and Life since we would have to think of other rules in which there were small such patterns.

Macbi

Posts: 659
Joined: March 29th, 2009, 4:58 am

### Re: Thread for basic questions

Some questions:

1. What is the maximum # of states for a Golly custom ruletable?
2. Can custom ruletable states have custom colors when displayed?
3. Is there a size limit for ruletables other than hardware limitations?

testitemqlstudop

Posts: 736
Joined: July 21st, 2016, 11:45 am
Location: very very very very boats

### Re: Thread for basic questions

testitemqlstudop wrote:Some questions:

1. What is the maximum # of states for a Golly custom ruletable?
2. Can custom ruletable states have custom colors when displayed?
3. Is there a size limit for ruletables other than hardware limitations?

256 states is the maximum.

The @COLORS section of the rule table, if it's there, defines which RGB colors go with which states.

If there's an official limit to the number of rule lines, I don't know it. So "hardware limitations" is a good way to put it: at some point Golly might run out of memory trying to convert a ridiculously long rule table into the internal tree format that it uses, but the point where that happens is probably machine-specific.

dvgrn
Moderator

Posts: 5620
Joined: May 17th, 2009, 11:00 pm

### Re: Thread for basic questions

Are there any guns known that have no stator but do have an engine reaction between two oscillators?
If not, are there any promising oscillators?
For instance, this gun in crylife is an example of what I mean:
`#N a gun in crylifex = 12, y = 17, rule = B2n3-cry4kn6i7c/S23-a4i6c2o\$obo4bo\$2bobob2o\$ob2o2bo\$2o4bo8\$4b2o4bo\$4bob2o2bo\$6bobob2o\$4bobo4bo\$4b2o!`

I suppose there are statorless guns with no such reaction nor any direct overunity nG-> >nG, via universal constructors; they’re just RRO Gemini things that produce extra gliders (oh wait... Are there any RRgemini, or will that be the next self-constructing thing challenge?)
Any number of barrels is fine.

EDIT:
Realization:
`x = 11, y = 14, rule = LifeHistory10.B\$9.B\$4.AD2.B\$3.A.B.B\$2.A.B.B\$.A.B.B.BD\$A.B.B.B.A\$EB.B.B.A\$E.B.B.A\$EB.B.A\$E.B.A\$EB.A\$E.A\$EA!`

Since the PD is statorles and the QB can be supported by G’s, is suppose we could make a statorless gun like that utilizing a blueprint like what I provided above.
Yellow line: QB/GGG wick
Blue lines: Glider paths
Red dots: PD-based statorless reflectors
Green lines: Gs going back to QBs to stabilize.
Perhaps even better:
`x = 13, y = 12, rule = LifeHistory8.AD\$7.A.B\$6.A.B\$5.A.B3.BD\$4.A.B3.B.A\$4.EB3.B.A\$4.E3.B.A\$4.E2.B.A\$3.BE.B.A\$2.B.EB.A\$.B2.E.A\$B3.EA!`
Last edited by Moosey on February 26th, 2019, 12:47 pm, edited 1 time in total.
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 1484
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Thread for basic questions

Moosey wrote:I suppose there are statorless guns with no such reaction nor any direct overunity nG-> >nG, via universal constructors; they’re just RRO Gemini things that produce extra gliders (oh wait... Are there any RRgemini, or will that be the next self-constructing thing challenge?)

There aren't any RRgemini yet. Really "Gemini" means two identical-twin copies of a reflector/constructor cooperating to shift an instruction tape... so I won't say that an RRgemini is completely impossible, but what you're looking for might be more like a RR{self-synthesizing spaceship}.

Once we have self-synthesizing spaceships, it's just about equally easy to build one that travels at a slightly oblique diagonal, or that travels exactly orthogonally by constructing a mirror image of itself, or that travels in a loop by building a 90- or 180-degree rotated copy of itself. It would be a little trickier to build a statorless RRSSS that just puts out a single stream of gliders, though. You'd tend to get one output stream per rotation, so a two- or four-barrel shotgun.

Meanwhile, there are technically statorless oscillators in Life that you could rub two copies of together and get a glider out -- somehow -- I think -- but they're also UC-based: volatility-1 self-constructing loops. The thing is, it would probably be easier to reprogram just one of these to emit an extra glider, than to work out how to get edge sparks from two of them to interact to get a glider out on a clear path.

dvgrn
Moderator

Posts: 5620
Joined: May 17th, 2009, 11:00 pm

### Re: Thread for basic questions

Moosey wrote:Are there any guns known that have no stator but do have an engine reaction between two oscillators?
<snip>
Since the PD is statorles and the QB can be supported by G’s, is suppose we could make a statorless gun like that utilizing a blueprint like what I provided above.
<snip>

It's much easier than that because the pentadecathlon can stabilise the QB itself.
`x = 45, y = 16, rule = B3/S2343bo\$43bo2\$43bo\$3b3o23bo12bobo\$2bo3bo20bobo\$bo5bo10bo7bobo13b3o\$17b2o6bo2bo\$o7bo7b2o4b2o2bobo\$o7bo6b3o4b2o3bobo12b3o\$16b2o4b2o5bo\$bo5bo9b2o23bobo\$2bo3bo11bo24bo\$3b3o\$43bo\$43bo!`

There are many alternative ways to stabilise the queen bee shuttle.

A convoluted statorless p120 gun was posted here. I'm sure there are others.
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1110
Joined: August 9th, 2013, 12:45 am

### Re: Thread for basic questions

Are there any omnibus syntheses? There are none on the wiki.

It seems like it should be easy due to its predecessor.

EDIT:
`x = 33, y = 26, rule = B3/S2328bo\$26b2o\$27b2o4\$3bo13bo\$4b2o9b2o\$3b2o11b2o2\$bo17bo\$b2o15b2o\$obo15bobo11\$30b3o\$30bo\$31bo!`
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 1484
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Thread for basic questions

Moosey wrote:Are there any omnibus syntheses? There are none on the wiki.

It seems like it should be easy due to its predecessor.

EDIT:
`x = 33, y = 26, rule = B3/S2328bo\$26b2o\$27b2o4\$3bo13bo\$4b2o9b2o\$3b2o11b2o2\$bo17bo\$b2o15b2o\$obo15bobo11\$30b3o\$30bo\$31bo!`

That's a little messier than necessary. The omnibus has been around a while, though apparently it was just called "40-bit still life #1" until it started showing up on Catagolue. I guess it appeared in some previous soup search, but I don't remember for sure.

Anyway, it's always worth searching in Mark Niemiec's database. You only need five gliders total.

dvgrn
Moderator

Posts: 5620
Joined: May 17th, 2009, 11:00 pm